Existence and boundedness of solutions for evolution variational inequalities with p(x,t)-growth

Autor: Mingqi Xiang, Yongqiang Fu, Binlin Zhang
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2015, Iss 172,, Pp 1-23 (2015)
Druh dokumentu: article
ISSN: 1072-6691
Popis: In this article, we study a class of evolution variational inequalities with p(x,t)-growth conditions on bounded domains. By means of the penalty method and Galerkin's approximation, we obtain the existence of weak solutions. Moreover, the boundedness of weak solutions is also investigated by applying Moser's iterative method.
Databáze: Directory of Open Access Journals